Question

In: Finance

A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The...

A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The first two years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 6%. What would the Year 3 monthly payment be? with the way please.

Solutions

Expert Solution

Note : The EMI has been calculated by using PMT formula in Excel.

Loan amount          2,00,000
Interest Rate For first 2 years 4% Monthly int Rate 0.33%
Time Period (years) 30 Number of Months 360
EMI ₹ 954.83

At the end of seconf year the new rate will be applicable on the remaining principle amount.

Balance Principle at the end of two years 1,92,500.24
Interest Rate 6%
Remainig Time (years) 28
EMI ₹ 1,184.12

Working: Calculation of principle amount at the end of secend year.

Months Begening EMI Interest Principle Balance
0 200000.00 954.83 666.67 288.16 199711.84
1 199711.84 954.83 665.71 289.12 199422.71
2 199422.71 954.83 664.74 290.09 199132.62
3 199132.62 954.83 663.78 291.06 198841.57
4 198841.57 954.83 662.81 292.03 198549.54
5 198549.54 954.83 661.83 293.00 198256.54
6 198256.54 954.83 660.86 293.98 197962.57
7 197962.57 954.83 659.88 294.96 197667.61
8 197667.61 954.83 658.89 295.94 197371.67
9 197371.67 954.83 657.91 296.93 197074.75
10 197074.75 954.83 656.92 297.91 196776.83
11 196776.83 954.83 655.92 298.91 196477.93
12 196477.93 954.83 654.93 299.90 196178.02
13 196178.02 954.83 653.93 300.90 195877.12
14 195877.12 954.83 652.92 301.91 195575.21
15 195575.21 954.83 651.92 302.91 195272.30
16 195272.30 954.83 650.91 303.92 194968.38
17 194968.38 954.83 649.89 304.94 194663.44
18 194663.44 954.83 648.88 305.95 194357.49
19 194357.49 954.83 647.86 306.97 194050.52
20 194050.52 954.83 646.84 308.00 193742.52
21 193742.52 954.83 645.81 309.02 193433.50
22 193433.50 954.83 644.78 310.05 193123.45
23 193123.45 954.83 643.74 311.09 192812.36
24 192812.36 954.83 642.71 312.12 192500.24

Related Solutions

A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The...
A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The first two years of the loan have a "teaser" rate of 2%, after that, the rate can reset with a 7% annual payment cap. On the reset date, the composite rate is 6%. Assume that the loan allows for negative amortization. What would be the outstanding balance on the loan at the end of Year 3?
A borrower takes out a 30-year adjustable rate mortgage loan for $325,000 with monthly payments.
A borrower takes out a 30-year adjustable rate mortgage loan for $325,000 with monthly payments. The first two years of the loan have a "teaser" rate of 4%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 6%. Assume that the loan allows for negative amortization. What would be the outstanding balance on the loan at the end of Year 3?
A borrower takes out a 30-year adjustable rate mortgage loan for $400,000 with monthly payments. The...
A borrower takes out a 30-year adjustable rate mortgage loan for $400,000 with monthly payments. The first two years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 2% annual rate cap. On the reset date, the composite rate is 5%. What would the Year 3 monthly payment be?
. A borrower takes out a 30 - year adjustable rate mortgage loan for $200,000 with...
. A borrower takes out a 30 - year adjustable rate mortgage loan for $200,000 with monthly payments. The first two years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 2% annual rate cap. On the reset date, the composite rate is 5%. What would the Year 3 monthly payment be? (A) $955 (B) $1,067 (C) $1,071 (D) $1,186 (E) Because of the rate cap, the payment would not change.
A borrower takes out a 15-year adjustable rate mortgage loan for $560,000 with monthly payments. The...
A borrower takes out a 15-year adjustable rate mortgage loan for $560,000 with monthly payments. The first 4 years of the loan have a “teaser” rate of 5%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 9%. What would the Year 5 (after 4 years; 11 years left) monthly payment be?
A borrower takes out a 15-year adjustable rate mortgage loan for $550,000 with monthly payments. The...
A borrower takes out a 15-year adjustable rate mortgage loan for $550,000 with monthly payments. The first 5 years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 7%. What would the Year 6 (after 5 years; 10 years left) monthly payment be?
A borrower takes out a 25-year adjustable rate mortgage loan for $446,242 with monthly payments. The...
A borrower takes out a 25-year adjustable rate mortgage loan for $446,242 with monthly payments. The first two years of the loan have a "teaser" rate of 4%, after that, the rate can reset with a 2% annual rate cap. On the reset date, the composite rate is 5%. What would the Year 3 monthly payment be?
A borrower takes out a 28-year adjustable rate mortgage loan for $451,185 with monthly payments. The...
A borrower takes out a 28-year adjustable rate mortgage loan for $451,185 with monthly payments. The first two years of the loan have a "teaser" rate of 4%; after that, the rate can reset with a 2% annual rate cap. On the reset date, the composite rate is 5%. What would the Year 3 monthly payment be?
A borrower takes out a 30-year price level adjusted mortgage loan for $200,000 with monthly payments....
A borrower takes out a 30-year price level adjusted mortgage loan for $200,000 with monthly payments. The initial interest rate is 4% with 4 points. Assuming that inflation is expected to increase at the rate of 3% for the next 5 years, and a fully amortizing loan is made. a) What is the monthly payment in year 2? b) What is the expected effective yield to the lender if the loan is repaid in 2 years?
A borrower takes out a 30-year mortgage loan for $100,000 with an interest rate of 6%...
A borrower takes out a 30-year mortgage loan for $100,000 with an interest rate of 6% plus 4 points. Payments are to be made monthly. a. What is the effective cost of borrowing on the loan if the loan is carried for all 30 years? b. What is the effective cost of borrowing on the loan if the loan is repaid after 10 years?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT